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Finding the Fourth Proportional to 10,814.45, 14,924.45 and 6,098.63

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Solution

The fourth proportional to 10,814.45, 14,924.45 and 6,098.63 is: 8,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.45 : 14,924.45 = 6,098.63 : x
  2. Step 2: Convert to fraction form
    10,814.45/14,924.45 = 6,098.63/x
  3. Step 3: Cross multiply
    10,814.45x = 14,924.45 × 6,098.63
  4. Step 4: Simplify right side
    10,814.45x = 91,018,639.13
  5. Step 5: Solve for x
    x = 91,018,639.13/10,814.45
  6. Step 6: Final answer
    x = 8,416.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.